Data

• tcount2.txt The number of integer tetrahedrons for a given perimeter (for perimeters 1 to 3059, then perimeters scattered up to 10000).
• diameterSet.csv.xz The number of integer tetrahedrons for perimeters 1 to 1000, for all diameters.
• perimeterSet.csv.xz The number of integer tetrahedrons for diameters 1 to 500, for all perimeters.

The following files contain the count of integer tetrahedra for each diameter, for perimeters 8000, 8200, 8300, 8400, 8800, 9500, 9600, 9700, 9900, 11000, 12000, 13000, 14000, 15000, 16000, 17000, 18000, 19000, 20000 and for some diameters for perimeter 30000.

• tcount8000.txt
• tcount8200.txt
• tcount8300.txt
• tcount8400.txt
• tcount8800.txt
• tcount9500.txt
• tcount9600.txt
• tcount9700.txt
• tcount9900.txt
• tcount11000.txt
• tcount12000.txt
• tcount13000.txt
• tcount14000.txt
• tcount15000.txt
• tcount16000.txt
• tcount17000.txt
• tcount18000.txt
• tcount19000.txt
• tcount20000.all.csv
• tcount30000.txt

The following files contain the count of integer tetrahedra for each perimeter, for diameters 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000 and for some perimeters for diameter 3000.

• dcount1100.txt
• dcount1200.txt
• dcount1300.txt
• dcount1400.txt
• dcount1500.txt
• dcount1600.txt
• dcount1700.txt
• dcount1800.txt
• dcount1900.txt
• dcount2000.txt
• dcount3000.txt

Videos

Diameter plots for each perimeter.

• tetrahedronDiameters.mp4 The sequence of plots for perimeters 1 up to 1000, where each plot shows the number of integer tetrahedrons for diameters 1 to 400.
• tetrahedronDiametersStandardised6Final.mp4 The sequence of plots for perimeters 1 up to 1000, where each plot shows the number of integer tetrahedrons for diameters 1 to 400, but the diameter is standardised and the area under the curve is normalised to 1.

Perimeter plots for each diameter.

• tetrahedronPerimeters.mp4 The sequence of plots for diameters 1 up to 500, where each plot shows the number of integer tetrahedrons for perimeters 1 to 3000.
• tetrahedronPerimeterStandardised.mp4 The sequence of plots for diameters 1 up to 500, where each plot shows the number of integer tetrahedrons for perimeters 1 to 3000, but the perimeter is standardised and the area under the curve is normalised to 1.